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Finding the Fourth Proportional to 436,032.80, 654,466.80 and 225,821.60

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Solution

The fourth proportional to 436,032.80, 654,466.80 and 225,821.60 is: 338,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,032.80 : 654,466.80 = 225,821.60 : x
  2. Step 2: Convert to fraction form
    436,032.80/654,466.80 = 225,821.60/x
  3. Step 3: Cross multiply
    436,032.80x = 654,466.80 × 225,821.60
  4. Step 4: Simplify right side
    436,032.80x = 147,792,739,922.88
  5. Step 5: Solve for x
    x = 147,792,739,922.88/436,032.80
  6. Step 6: Final answer
    x = 338,948.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.